Algebraic geometry has always been at the core in the history of mathematics in the 20th century, which can be seen from the winners of the Fields Prize, one of the major awards in mathematics. From the first Fields Prize awarded by 1936 to the 24th Fields Prize awarded by the International Congress of Mathematicians held in China in 2002, a total of 45 young mathematicians under 40 years old won prizes, of which about13 won prizes, and their winning works were more or less related to algebraic geometry, which shows that the research on algebraic geometry is quite active and has always been the mainstream mathematics in dieudonne. Why does the study of algebraic geometry flourish? Because there are a lot of unsolved problems in algebraic geometry, and these problems involve many other disciplines, it is these problems and the stimulation of other disciplines that make algebraic geometry full of vitality and fascinating creative growth points.